摘要
针对二维椭圆型界面问题的离散化方程,应用外推插值技巧和样条插值方法在细网格层上构造合适的迭代初始值,加快V型多重网格法求解离散化系统的速度,设计了外推完全多重网格(EXFMG)法.数值实验表明新算法有效降低了迭代次数,计算量更少.
An extrapolation full multigrid(EXFMG)method is proposed to solve two-dimensional elliptic interface problems.In this approach,a quite good initial guess is constructed by using Richardson extrapolation and spline interpolation,which accelerates V-cycle MG method for calculating the discretize system and greatly reduces the number of V-cycles required.Numerical results are given to show that our proposed EXFMG algorithm can keep less cost.
作者
赵金娥
李明
纪盈
Zhao Jine;Li Ming;Ji Ying(Department of Mathematics and Statistics,Honghe University,Mengzi 661199,China)
出处
《数值计算与计算机应用》
2023年第3期305-312,共8页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(12161033)
云南省科技厅项目(202101BA070001-046)
云南省教育厅项目(2022J0896)
红河学院博士专项(XJ22B18)
红河学院大创项目(DCXL200149,CX2022092,SZ2258)资助。
关键词
外推
椭圆型界面问题
多重网格法
差分
Extrapolation
Elliptic interface problems
Multigrid method
Difference scheme
